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Finding the Fourth Proportional to 7,311.78, 10,880.10 and 7,287.12

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Solution

The fourth proportional to 7,311.78, 10,880.10 and 7,287.12 is: 10,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.78 : 10,880.10 = 7,287.12 : x
  2. Step 2: Convert to fraction form
    7,311.78/10,880.10 = 7,287.12/x
  3. Step 3: Cross multiply
    7,311.78x = 10,880.10 × 7,287.12
  4. Step 4: Simplify right side
    7,311.78x = 79,284,594.31
  5. Step 5: Solve for x
    x = 79,284,594.31/7,311.78
  6. Step 6: Final answer
    x = 10,843.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.